Multiple choice

P is thrice as good workmen as Q and takes 10 days less to do a piece of work than Q takes. Find the time in which Q alone can complete the work. P श्रमिक Q का तीन गुना सक्षम है और इस तरह एक कार्य को पूरा करने में Q से 10 दिन कम लेता है। वह समय ज्ञात कीजिए जिसमें Q अकेला कार्य को पूरा कर सकता है।

  1. 15 days/दिन

  2. 5 days/दिन

  3. 8 days/दिन

  4. 18 days/दिन
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A Correct answer
Explanation

Let Q take x days to complete the work alone. Then Q's efficiency is 1/x work per day. Since P is thrice as good, P's efficiency is 3/x work per day. P's time to complete alone = x/3 days. The difference is 10 days: x - x/3 = 10, so 2x/3 = 10, giving x = 15. Therefore Q alone can complete the work in 15 days.

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